From the results of Prob. 4–67,

(a) Is this flow rotational or irrotational?

(b) Calculate the z-component of vorticity for this flow field.

Data from Problem 67

Consider the steady, incompressible, two-dimensional flow field of Prob. 4–64. Using the results of Prob. 4–64(a), do the following:

From the fundamental definition of the rate of rotation (average rotation rate of two initially perpendicular lines that intersect at a point), calculate the rate of rotation of the fluid particle in the xy-plane, ω_z.

Compare your results with those obtained from the equation for ω_z in Cartesian coordinates, i.e.,

Transcribed Image Text:

Cz 1 ду 2 Әх ди ду